Provided are an acceleration measuring apparatus, a SQUID sensor module, and a fabrication method of the SQUID sensor module. The acceleration measuring apparatus includes a test mass structure with a superconducting thin film on its one surface and providing elasticity, a superconducting coil for measurement disposed on the substrate to be opposite to the one surface of the test mass structure and magnetically coupled to the test mass structure, a transformer disposed on the substrate and including a primary superconducting coil connected to the superconducting coil and a secondary superconducting coil magnetically coupled to the primary superconducting coil, an input coil disposed on the substrate and connected to the secondary superconducting coil, and a superconducting quantum interference device (SQUID) disposed on the substrate and magnetically coupled to the input coil.